Reggie and Vaidev had $720 altogether. Vaidev gave
25 of his money to Reggie. After that, Reggie gave
35 of his money to Vaidev. In the end, Reggie had
16 of the total sum of money. How much did Reggie have at first?
| |
Vaidev |
Reggie |
Total |
| Before 1 |
5 p |
? |
$720 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$720 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$720 |
Comparing between
Vaidev and Reggie
in the end |
5x2 =
10 u |
1x2 =
2 u |
$720 |
The amount that Reggie had in the end is the repeated. Make the amount that Reggie had in the end the same. LCM of 2 and 1 is 2.
12 u = 720
1 u = 720 ÷ 12 = 60
5 u = 5 x 60 = 300
3 p = 720 - 300 = 420
1 p = 420 ÷ 3 = 140
Amount that Vaidev had at first
= 5 p
= 5 x 140
= $700
Amount that Reggie had at first
= 720 - 700
= $20
Answer(s): $20
